• 제목/요약/키워드: P-continuous functions

검색결과 97건 처리시간 0.033초

EXISTENCE OF HOMOCLINIC ORBITS FOR LIENARD TYPE SYSTEMS

  • Kim, Yong-In
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제17권4호
    • /
    • pp.389-396
    • /
    • 2010
  • We investigate the existence of homoclinic orbits of the following systems of $Li{\'{e}}nard$ type: $a(x)x^'=h(y)-F(x)$, $y^'$=-a(x)g(x), where $h(y)=m{\mid}y{\mid}^{p-2}y$ with m > 0 and p > 1 and a, F, 9 are continuous functions such that a(x) > 0 for all $x{\in}{\mathbb{R}}$ and F(0)=g(0)=0 and xg(x) > 0 for $x{\neq}0$. By a series of time and coordinates transformations of the above system, we obtain sufficient conditions for the positive orbits of the above system starting at the points on the curve h(y) = F(x) with x > 0 to approach the origin through only the first quadrant. The method of this paper is new and the results of this paper cover some early results on this topic.

POSITIVE SOLUTION FOR A CLASS OF NONLOCAL ELLIPTIC SYSTEM WITH MULTIPLE PARAMETERS AND SINGULAR WEIGHTS

  • AFROUZI, G.A.;ZAHMATKESH, H.
    • Journal of applied mathematics & informatics
    • /
    • 제35권1_2호
    • /
    • pp.121-130
    • /
    • 2017
  • This study is concerned with the existence of positive solution for the following nonlinear elliptic system $$\{-M_1(\int_{\Omega}{\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^pdx)div({\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)\\{\hfill{120}}={\mid}x{\mid}^{-(a+1)p+c_1}\({\alpha}_1A_1(x)f(v)+{\beta}_1B_1(x)h(u)\),\;x{\in}{\Omega},\\-M_2(\int_{\Omega}{\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^qdx)div({\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^{q-2}{\nabla}v)\\{\hfill{120}}={\mid}x{\mid}^{-(b+1)q+c_2}\({\alpha}_2A_2(x)g(u)+{\beta}_2B_2(x)k(v)\),\;x{\in}{\Omega},\\{u=v=0,\;x{\in}{\partial}{\Omega},$$ where ${\Omega}$ is a bounded smooth domain of ${\mathbb{R}}^N$ with $0{\in}{\Omega}$, 1 < p, q < N, $0{\leq}a$ < $\frac{N-p}{p}$, $0{\leq}b$ < $\frac{N-q}{q}$ and ${\alpha}_i,{\beta}_i,c_i$ are positive parameters. Here $M_i,A_i,B_i,f,g,h,k$ are continuous functions and we discuss the existence of positive solution when they satisfy certain additional conditions. Our approach is based on the sub and super solutions method.

재료-기하비선형을 고려한 이방성 적층평판의 p-Version 유한요소해석 (p-Version Finite Element Analysis of Anisotropic Laminated Plates considering Material-Geometric Nonlinearities)

  • 홍종현;박진환;우광성
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
    • /
    • pp.319-326
    • /
    • 2002
  • A p-version finite element model based on degenerate shell element is proposed for the analysis of orthotropic laminated plates. In the nonlinear formulation of the model, the total Lagrangian formulation is adopted with large deflection and moderate rotation being accounted for in the sense of von Karman hypothesis. The material model Is based on the Huber-Mises yield criterion and Prandtl-Reuss flow rule in accordance with the theory of strain hardening yield function, which is generalized for anisotropic materials by introducing the parameters of anisotropy. The model is also based on extension of equivalent-single layer laminate theory(ESL theory) with shear deformation, leading to continuous shear strain at the interface of two layers. The Integrals of Legendre Polynomials we used for shape functions with p-level varying from 1 to 10. Gauss-Lobatto numerical quadrature is used to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed p-version finite element model is demonstrated through several comparative points of view in terms of ultimate load, convergence characteristics, nonlinear effect, and shape of plastic zone

  • PDF

SCALE TRANSFORMATIONS FOR PRESENT POSITION-INDEPENDENT CONDITIONAL EXPECTATIONS

  • Cho, Dong Hyun
    • 대한수학회지
    • /
    • 제53권3호
    • /
    • pp.709-723
    • /
    • 2016
  • Let C[0, t] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0, t] and define a random vector $Z_n:C[0,t]{\rightarrow}{\mathbb{R}}^n$ by $Zn(x)=(\int_{0}^{t_1}h(s)dx(s),{\cdots},\int_{0}^{t_n}h(s)dx(s))$, where 0 < $t_1$ < ${\cdots}$ < $t_n$ < t is a partition of [0, t] and $h{\in}L_2[0,t]$ with $h{\neq}0$ a.e. In this paper we will introduce a simple formula for a generalized conditional Wiener integral on C[0, t] with the conditioning function $Z_n$ and then evaluate the generalized analytic conditional Wiener and Feynman integrals of the cylinder function $F(x)=f(\int_{0}^{t}e(s)dx(s))$ for $x{\in}C[0,t]$, where $f{\in}L_p(\mathbb{R})(1{\leq}p{\leq}{\infty})$ and e is a unit element in $L_2[0,t]$. Finally we express the generalized analytic conditional Feynman integral of F as two kinds of limits of non-conditional generalized Wiener integrals of polygonal functions and of cylinder functions using a change of scale transformation for which a normal density is the kernel. The choice of a complete orthonormal subset of $L_2[0,t]$ used in the transformation is independent of e and the conditioning function $Z_n$ does not contain the present positions of the generalized Wiener paths.

RESISTANCE ESTIMATION OF A PWM-DRIVEN SOLENOID

  • Jung, H.G.;Hwang, J.Y.;Yoon, P.J.;Kim, J.H.
    • International Journal of Automotive Technology
    • /
    • 제8권2호
    • /
    • pp.249-258
    • /
    • 2007
  • This paper proposes a method that can be used for the resistance estimation of a PWM (Pulse Width Modulation)-driven solenoid. By using estimated solenoid resistance, the PWM duty ratio was compensated to be proportional to the solenoid current. The proposed method was developed for use with EHB (Electro-Hydraulic Braking) systems, which are essential features of the regenerative braking system of many electric vehicles. Because the HU (Hydraulic Unit) of most EHB systems performs not only ABS/TCS/ESP (Electronic Stability Program) functions but also service braking function, the possible duration of continuous solenoid driving is so long that the generated heat can drastically change the level of solenoid resistance. The current model of the PWM-driven solenoid is further developed in this paper; from this a new resistance equation is derived. This resistance equation is solved by using an iterative method known as the FPT (fixed point theorem). Furthermore, by taking the average of the resistance estimates, it was possible to successfully eliminate the effect of measurement noise factors. Simulation results showed that the proposed method contained a sufficient pass-band in the frequency response. Experimental results also showed that adaptive solenoid driving which incorporates resistance estimations is able to maintain a linear relationship between the PWM duty ratio and the solenoid current in spite of a wide variety of ambient temperatures and continuous driving.

Characterizing and modelling nonstationary tri-directional thunderstorm wind time histories

  • Y.X. Liu;H.P. Hong
    • Wind and Structures
    • /
    • 제38권4호
    • /
    • pp.277-293
    • /
    • 2024
  • The recorded thunderstorm winds at a point contain tri-directional components. The probabilistic characteristics of such recorded winds in terms of instantaneous mean wind speed and direction, and the probability distribution and the time-frequency dependent crossed and non-crossed power spectral density functions for the high-frequency fluctuating wind components are unclear. In the present study, we analyze the recorded tri-directional thunderstorm wind components by separating the recorded winds in terms of low-frequency time-varying mean wind speed and high-frequency fluctuating wind components in the alongwind direction and two orthogonal crosswind directions. We determine the time-varying mean wind speed and direction defined by azimuth and elevation angles, and analyze the spectra of high-frequency wind components in three orthogonal directions using continuous wavelet transforms. Additionally, we evaluate the coherence between each pair of fluctuating winds. Based on the analysis results, we develop empirical spectral models and lagged coherence models for the tri-directional fluctuating wind components, and we indicate that the fluctuating wind components can be treated as Gaussian. We show how they can be used to generate time histories of the tri-directional thunderstorm winds.

NFC 기반 사용자 중심의 모듈형 심박측정 의류 시스템 개발 (Development of a Modular Clothing System for User-Centered Heart Rate Monitoring based on NFC)

  • 조하경;조상우;조광연
    • 감성과학
    • /
    • 제23권2호
    • /
    • pp.51-60
    • /
    • 2020
  • 본 연구의 목적은 심박 측정용 기기 및 의류에 있어 배터리 충전 및 기기의 부피감으로 인한 불편함을 개선하고, 사용자 편의성을 고려하여 목적에 따른 심박 측정을 가능케 하는 심박 측정용 스마트 의류 시스템을 개발하고자 하였다. 심박 측정 기기는 2가지 타입으로 모듈화되어 개발되었으며, 탈부착을 통해 목적형 및 지속적 심박 측정이 가능하도록 구성하였다. 목적형 심박측정 기기는 NFC(Near Field Communication), 심박 센서를 내장하고 필요시에 스마트 폰 태깅을 통해 심박 측정이 가능하게 하는 의류에 부착된 타입으로 개발되었으며, 지속형 심박 측정 기기는 BLE(Bluetooth Low Energy) 통신 및 배터리를 내장하여 목적형 기기와 결합을 통해 통신 및 전원을 지원, 지속적으로 심박 측정이 가능한 시스템으로 구성되었다. 심박 측정을 위한 섬유 전극은 은사 기반의 편물 전극으로, 심박 측정에 용이하도록 대흉근 아래에 위치하도록 디자인되었으며, 목적형 심박측정 기기가 전극과 연결되도록 구성되었다. 연동되는 어플리케이션은 사용자 경험요소, 주요기능 및 사용편의성 등을 고려하여 개발되었으며, 사용성 향상을 위하여 스마트 폰 태깅을 통해 자동 동기화가 되도록 개발되었다. 본 연구에서 개발된 심박측정 스마트 의류 시스템의 심박측정 정확도를 평가하기 위하여, 10명의 20대 남성 피험자를 대상으로 2단계의 실험을 설계하고 진행하였으며, POLAR RS800을 통해 측정되는 신호를 기준 심박으로 비교·분석하였다. 그 결과, 목적형 스마트 의류 시스템의 평균 심박수는 85.37, 기준 기기 심박수는 87.03으로 96.73%의 정확도를 갖는 것으로 분석되었으며, T 값 -1.892 (p=.091)로 두 신호간의 유의한 차이는 없는 것으로 분석되었다. 지속형 스마트 의류 시스템의 평균 심박수는 86.00, 기준 기기 심박수는 86.97로 97.16%의 정확도를 보였으며, T 값 -1.089(p=0.304)로 두 시스템 간의 측정 차이는 없는 것으로 분석되었다. 본 연구에서는 사용자의 목적에 따라 심박측정이 가능한 모듈형 스마트 의류 시스템을 개발하고 검증한 것에 의의가 있다. 또한, 모듈화 된 심박측정 의류 시스템 개발로 불필요한 기능으로 인한 가격 상승을 줄임으로써 이원화된 상품 기획의 가능성을 제시하였다.

The Effects of Making Horcitultural Products and Selling Activities on Vocational Rehabilitation of Persons with Mental Disabilities

  • Seol, Ga Ae;Yun, Suk Young;Choi, Byung Jin
    • 인간식물환경학회지
    • /
    • 제22권3호
    • /
    • pp.279-287
    • /
    • 2019
  • This study carried out a horticultural program for people with mental disabilities to determine suitability of the horticultural activity program and to actually apply to vocational rehabilitation. The program was carried out in 16 sessions from April 12 to June 7, 2018 with nine people with a strong will to participate in vocational rehabilitation at a health center for persons with mental disabilities. The tools used were the Horticultural Activity Performance Assessment (psychological behavior) and Purdue Pegboard Test that examines functions of hands and arms. The subjects sold the products they made during class time and obtained the profits. After the program, the scores increased with a significant difference (p = .000) in the psychological behavior area of the Horticultural Activity Performance Assessment. Hand and arm movement also showed continuous improvement along the program with a significant difference (p = .000), as well as finger dexterity also with a significant difference (p = .018). The net profit was 314,000 KRW (subtracting cost of goods 314,000 KRW from total sales 628,000 KRW). The profit was shared equally among the nine subjects, each receiving 34,900 KRW. Therefore this study proved horticultural activity class is suitable for vocational rehabilitation of people with mental disabilities proved by the positive effects. We also expect that the subjects will be able to make more profits if they learn more skills, since they are interested the process of making such profits.

조현병 환자의 인지기능과 뇌 사건유발전위의 관계 (Cognitive Abilities and Auditory Event Related Potentials in Patients with Schizophrenia)

  • 김가영;민정아;채정호
    • 생물정신의학
    • /
    • 제19권3호
    • /
    • pp.115-120
    • /
    • 2012
  • Objectives : Event-related potentials have been suggested as an objective marker for brain functions in psychiatric disorders. This study was aimed to investigate the relationships between P300, the mismatch negativity (MMN), the loudness dependence of the auditory evoked potential (LDAEP), demographic and clinical variables including neurocognitive abilities in patients with schizophrenia. Methods : P300, the MMN, and the LDAEP were measured and the Korean Stroop color-word test (K-stroop test) and the Wisconsin Card Sorting Test (WCST) were performed in 43 patients with schizophrenia. The relationship of the latency and amplitude of P300 and the MMN as well as regression slope of the LDAEP with demographic and clinical variables were analyzed by t-test and correlation analyses for categorical and continuous variables, respectively. Results : After controlling for age, the latency of central (Cz) and parietal (Pz) P300 posivitively correlated with GAF at admission (Cz ; ${\gamma}$ = 0.385, p = 0.047, Pz ; ${\gamma}$ = 0.421, p = 0.029). The amplitude of parietal P300 correlated with the correction rate of the K-stroop test (${\gamma}$ = 0.575, p = 0.002). In addition, the frontal (Fz) P300 latency tended to negatively correlated with the correction rate of the WCST (${\gamma}$ = -0.371, p = 0.057). Conclusions : Our findings suggest that the values of P300 latency and amplitude might be correlated with GAF at admission and working memory measured by the K-Stroop test and the WCST. Meanwhile, the MMN and the LDAEP did not correlate with demographic and clinical variables. These results support the results of previous studies showing associations with P300 and impaired cognitive ability.

성심산(醒心散)의 중대뇌동맥 폐쇄로 유발된 허혈성 뇌손상 백서(白鼠)에 대한 인지 및 운동기능 회복 촉진효과 (Sungshim-san-mediated Recovery of Cognition and Motor Function in the Severe Rat Stroke, Permanent Middle Cerebral Artery Occlusion Model)

  • 이경석;정대규
    • 동의신경정신과학회지
    • /
    • 제26권3호
    • /
    • pp.319-336
    • /
    • 2015
  • Objectives: The object of this study was to evaluate the cognition and motor function recovery effects of Sungshim-san (SSS), a traditional Korean cardio-protective polyherbal formula in the severe rat stroke, permanent middle cerebral artery occlusion (pMCAO) model. Methods: The experimental animals were divided into 6 groups. SSS aqueous extracts (yield=16.82%; 400, 200 and 100 mg/kg) were administered orally by using Sonde, once daily, for 28 continuous days from 24 hrs post-pMCAO. Donepezil 10 mg/kg, a representative drug for dementia, was used as a reference drug. The body weight changes, infarct/defect sizes, sensorimotor function and cognitive motor behavior were serially monitored. Limb placing and body-swing test for sensorimotor functions were conducted at 1 day before operation (base line), and 1, 3, 7, 14, 21 and 28 days post-pMCAO; and water maze test for the cognitive motor behavior was conducted at 14 and 28 days post-pMCAO, respectively. Results: Focal cerebral cortex infarct and defects due to pMCAO resulted in marked decreases of body weight, disorders of sensorimotor functions and cognitive motor behaviors. However, the pMCAO-related ischemic damages were markedly and dose-dependently inhibited by treatment with SSS 400 and 200 mg/kg, respectively. Donepezil markedly decreased the body weight and gains, as compared with pMCAO control rats; however, SSS 400 and 200 mg/kg favorably ameliorated the pMCAO-induced decreases in body weight and gains. SSS 100 mg/kg treated rats did not show any favorable effects on the pMCAO-related ischemic damages, as compared with pMCAO control rats. Conclusions: The results of the study indicated that oral administration of SSS 400 and 200 mg/kg accelerated cognition and motor function recovery in the rat pMCAO model. The treatment effect was potentially mediated by neuroprotection via the known augmentation of cerebral antioxidant defense system of SSS itself or its individual herbal components. Especially, the overall effects of SSS 200 mg/kg were similar to those of donepezil 10 mg/kg, but less toxic.